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Finding the Third Proportional to 127,001 and 273,118

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Solution

The third proportional to 127,001 and 273,118 is: 587,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,001 : 273,118 = 273,118 : x
  2. Step 2: Convert to fraction form
    127,001/273,118 = 273,118/x
  3. Step 3: Cross multiply
    127,001x = 273,118 × 273,118
  4. Step 4: Simplify right side
    127,001x = 74,593,441,924
  5. Step 5: Solve for x
    x = 74,593,441,924/127,001
  6. Step 6: Final answer
    x = 587,345.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.